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620706240 = 26345711311
BaseRepresentation
bin100100111111110…
…011100111000000
31121020222010220000
4210333303213000
52232400044430
6141331520000
721244626120
oct4477634700
91536863800
10620706240
11299410870
12153a59000
139b7985cb
145c616c80
153975ce60
hex24ff39c0

620706240 has 560 divisors, whose sum is σ = 2761634304. Its totient is φ = 128563200.

The previous prime is 620706223. The next prime is 620706241. The reversal of 620706240 is 42607026.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620706241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995685 + ... + 1995995.

Almost surely, 2620706240 is an apocalyptic number.

620706240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380817152).

620706240 is an abundant number, since it is smaller than the sum of its proper divisors (2140928064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

620706240 is a wasteful number, since it uses less digits than its factorization.

620706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 620706240 is about 24913.9768001819. The cubic root of 620706240 is about 853.0255454647.

The spelling of 620706240 in words is "six hundred twenty million, seven hundred six thousand, two hundred forty".